{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 06\n",
    "\n",
    "# 三维参数方程\n",
    "Book_3《数学要素》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2ea56663-28b1-4bc7-ab7c-05664dadafc6",
   "metadata": {},
   "source": [
    "这段代码使用SymPy库绘制了一个三维螺旋线，通过参数化方程在三维空间中展示螺旋线的几何特性。螺旋线的参数方程为：\n",
    "\n",
    "$$\n",
    "x_1 = \\cos(t)\n",
    "$$\n",
    "$$\n",
    "x_2 = \\sin(t)\n",
    "$$\n",
    "$$\n",
    "x_3 = t\n",
    "$$\n",
    "\n",
    "其中，参数$t$的取值范围为$[0, 8\\pi]$。在该范围内，$x_1$和$x_2$分别为$\\cos(t)$和$\\sin(t)$，从而在$x_1x_2$平面上形成一个单位圆的投影；同时，$x_3$随着$t$的增大线性增加，使得螺旋线沿着$z$轴（即$x_3$方向）上升。最终的图形呈现为一个均匀上升的螺旋形，围绕$z$轴旋转并逐步远离$x_1x_2$平面。\n",
    "\n",
    "该代码通过`plot3d_parametric_line`函数生成这一螺旋线，展示了三维空间中螺旋线的对称性和上升趋势。此类螺旋线图形在物理学、数学建模和视觉化三维路径分析中应用广泛，尤其适合观察螺旋结构的周期性和空间分布特性。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "41f1bb57-77d2-49a8-8065-753f715f4cbc",
   "metadata": {},
   "source": [
    "## 导入所需库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cfc3ca3b-2935-4f65-a0b5-0a0c02ac1f40",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sympy import *  # 导入sympy库，用于符号计算\n",
    "from sympy.plotting import plot3d_parametric_line  # 导入三维参数曲线绘图模块\n",
    "import math  # 导入math库，用于数学常数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62be7b8f-5a21-42a1-aa84-f21b7801f7fd",
   "metadata": {},
   "source": [
    "## 定义参数变量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "dfd7e125-51c4-4135-9224-5cc4fb6158ba",
   "metadata": {},
   "outputs": [],
   "source": [
    "t = symbols('t')  # 定义符号变量t，作为参数变量"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "91a65545-d9c8-43d3-b6db-ab421d702291",
   "metadata": {},
   "source": [
    "## 螺旋线的参数方程"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6a81c23d-db7e-4a46-8fe9-0bf52323d721",
   "metadata": {},
   "outputs": [],
   "source": [
    "x1 = cos(t)  # 定义螺旋线的x1坐标，使用cos函数\n",
    "x2 = sin(t)  # 定义螺旋线的x2坐标，使用sin函数\n",
    "x3 = t  # 定义螺旋线的x3坐标，随t线性增加"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "039bca9a-55d0-43d0-aa79-1c449e9a3f99",
   "metadata": {},
   "source": [
    "## 绘制三维螺旋线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "334773e7-f884-466a-9078-0804ca1c41f6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<sympy.plotting.backends.matplotlibbackend.matplotlib.MatplotlibBackend at 0x209ab5a06b0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot3d_parametric_line(x1, x2, x3, (t, 0, 8 * math.pi))  # 绘制三维螺旋线，参数t从0到8π"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
